Non-Poisson Dichotomous Noise: Higher-Order Correlation Functions and Aging

Abstract

The authors study a two-state symmetric noise, with a given waiting time distribution psi(tau), and focus their attention on the connection between the four-time and two-time correlation functions. The transition of psi(tau) from the exponential to the nonexponential condition yields the breakdown of the usual factorization condition of higher-order correlation functions, as well as the birth of aging effects. The authors discuss the subtle connections between these two properties and establish the condition that the Liouville-like approach has to satisfy to produce a correct description of the resulting diffusion process.

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Document Details

Document Type
Technical Report
Publication Date
Oct 26, 2004
Accession Number
ADA434898

Entities

People

  • Bruce J. West
  • Luigi Palatella
  • Paolo Allegrini
  • Paolo Grigolini

Organizations

  • University of North Texas

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Biological Phenomena
  • Biological Processes
  • Diffusion
  • Equations
  • Intervals
  • Mathematical Models
  • Military Research
  • Models
  • New York
  • Physics
  • Probability
  • Quantum Dots
  • Random Walk
  • Statistical Mechanics
  • Statistics
  • Stochastic Processes
  • Time Intervals

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.